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14 October, 22:01

Solve by the linear combination method (with or without multiplication). 8g - 5h = 7 4g + 10h = 1

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  1. 14 October, 22:30
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    8g - 5h = 7 ⇒ 16g - 10h = 14

    4g + 10h = 1 ⇒ 4g + 10h = 1

    12g = 13

    12 12

    g = 1¹/₁₂

    8g - 5h = 7

    8 (1¹/₁₂) - 5h = 7

    8²/₃ - 5h = 7

    - 8²/₃ - 8²/₃

    -5h = - 1²/₃

    -5 - 5

    h = ¹/₃

    (g, h) = (1¹/₁₂, ¹/₃)
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